Visibility of Mordell-Weil groups
Documenta mathematica, Tome 12 (2007), pp. 587-606
We introduce a notion of visibility for Mordell-Weil groups, make a conjecture about visibility, and support it with theoretical evidence and data. These results shed new light on relations between Mordell-Weil and Shafarevich-Tate groups.
Mots-clés :
abelian varieties, elliptic curves, Mordell-Weil groups, Shafarevich-Tate groups, visibility
@article{10_4171_dm_236,
author = {William A. Stein},
title = {Visibility of {Mordell-Weil} groups},
journal = {Documenta mathematica},
pages = {587--606},
year = {2007},
volume = {12},
doi = {10.4171/dm/236},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/236/}
}
William A. Stein. Visibility of Mordell-Weil groups. Documenta mathematica, Tome 12 (2007), pp. 587-606. doi: 10.4171/dm/236
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